Random number generation including skewness control

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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C708S255000

Reexamination Certificate

active

07870175

ABSTRACT:
Random numbers can be generated in a statistically independent manner and with identical probability if the bits generated by a controlled bit generator are stored by a storage in a plurality of memory regions, wherein the bits are each stored in such memory regions associated with a difference of the bits of the values 1 and 0 generated up to the time of storage, and if all the bits stored within a memory region are subjected to algorithmic post-processing as soon as a predetermined number of bits within a memory region is exceeded. The fact that the bits are not stored and processed sequentially, i.e. in the order of generation, allows using a sequence of bits within which the individual bits are statistically independent of one another for the algorithmic post-processing. Thus, a way of performing algorithmic post-processing of the bits without reducing the entropy is provided.

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patent: 2007/0067375 (2007-03-01), Inaoka et al.
John von Neumann; “Various Techniques Used in Connection With Random Digits”; John von Neumann Collected Works, vol. 5, Pergamon Press, 1963, pp. 768-770.
Yuval Peres; Interating von Neumann's Procedure for Extracting Random Bits;The Annals of Statistics, 1992, vol. 20, No. 1, pp. 590-597.
Peter Elias; “The Efficient Construction of an Unbiased Random Sequence”;The Annals of Mathematical Statistics; 1972, vol. 43, No. 3, pp. 865-870.

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